Finding the Third Proportional to 181,552,943,902 and 397,306,482,728
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Solution
The third proportional to 181,552,943,902 and 397,306,482,728 is: 869,456,797,698.09
Step by Step Solution
- Step 1: Write the proportion equation
181,552,943,902 : 397,306,482,728 = 397,306,482,728 : x - Step 2: Convert to fraction form
181,552,943,902/397,306,482,728 = 397,306,482,728/x - Step 3: Cross multiply
181,552,943,902x = 397,306,482,728 × 397,306,482,728 - Step 4: Simplify right side
181,552,943,902x = 157,852,441,217,694,563,303,424 - Step 5: Solve for x
x = 157,852,441,217,694,563,303,424/181,552,943,902 - Step 6: Final answer
x = 869,456,797,698.09
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.